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Question;Dogs;Households0;12691;4242;1623;404;275;16Problem # 6. A frequency distribution is shown below. Complete parts;9a) through (e). The number of dogs per household in a small town.;(a) Use the frequency distribution to construct a probability distribution. (Round to the nearest thousandth as needed).;(b). Find the mean of the probability distribution. (round to the nearest tenth as needed);(c) Find the variance of the probability distribution (round to the nearest tenth as needed);(d) Find the standard deviation of the probability distribution (round to the nearest tenth as needed);(e) Interpret the results in the context of the real life situation.;Problem # 8. Use technology to (a) construct and graph a probability;distribution and (b) describe its shape. The number of computers per;household in a small town;Computers;0;1;2;3Households;303;282;100;15(a) construct the probability distribution by completing the table below.;Problem # 9. For a random variable x, a new random variable y can be;created by applying a linear transformation y= a + bx, where a and b are;constants. If the random variable x has mean and standard deviation ox;then the mean, variance and standard deviation. The mean annual salary;for employees at a company is $35,000. At the end of the year, each;employee receives a $5000 bonus and a 9% raise (based on salary). What;is the new mean annual salary (including the bonus and raise) for the;employees? The means annual salary is $---;Problem #12. Find the mean, variance and standard deviation of the;binomial distribution with the given values of n and p. n = 70, p = 0.7;The mean is ---(round to the nearest tenth as needed) The variance is;---(round to the nearest tenth as needed) The standard deviation is;---(round to the nearest tenth as needed);Problem#13. Thirty five percent of households say they would feel;secure if they had $50,000 in savings. You randomly select 8 households;and ask them if they would feel secure if they had $50,000 in savings.;Find the probability that the number that say they would feel secure is;(a) exactly five, (b) more than five and (c) at most five.;(a) find the probability that the number that say they would feel;secure is exactly five P(5)= (round to three decimal places as needed);(b) find the probability that the number that say they would secure;is more than five P(x>5)= (round to three decimal places as needed);(c) find the probability that the number that say they would secure;is at most five. P (x 2) = --(round to the nearest thousandth as needed);(c) P (2 < x < 5)=---(round to the nearest thousandth as needed);Problem # 26. The SAT is an exam used by colleges and universities to;evaluate undergraduate applicants. The test scores are normally;distributed. In a recent year the mean test score was 1505 and the;standard deviation was 314. The test scores of four students selected at;random are 1944, 1333, 2265, and 1380. Complete parts (a) through;(c)below.;(a) Without converting to z-score match the values with the letters;A,B,C, and D on the given graph of the standard normal distribution.;graph is a hill with the letters in the middle. A= B= C= D=;(b) Find the z-score that corresponds to each value and check your answers to part (a). Za= Zb=;Zc= and Zd=;round to two decimal places as needed);(c) Determine whether any of the values are unusual. Select the;correct answer below and if necessary fill in the answer boxes within;your choice. A. The unusual values is/are---. The very unusual value(s);is/are---(use a comma to separate answers as needed) B. The very unusual;value(s) is/are---. The unusual values are all very unusual. (use a;comma to separate answers as needed)C. The unusual value(s) is/are---.;There are no very unusual values. (use a comma to separate answers as;needed. D. There are no unusual or vey unusual values.;Problem # 29. The mean incubation time a type of fertilized egg kept;at 100.4F is 19 days. Suppose that the incubation times are;approximately normally distributed with a standard deviation of 1 day.;(a) The probability that a randomly selected fertilized egg hatches in less than 17 days is---;(b) The probability that a randomly selected fertilized egg hatches;between 18 and 19 days is --(round all of these to four decimal places;as needed);(c) The probability that a randomly selected fertilized egg takes over 21 days to hatch is ---;Problem # 30. The total cholesterol levels of a sample of men aged;35-44 are normally distributed with a mean of 212 milligrams per;deciliter and a standard deviation of 38.2 milligrams per deciliter.;(a) What percent of the men have a total cholesterol level less than 239 milligrams per deciliter of blood?;(b) If 254 men in 35-44 age group are randomly selected about how;many would you expect to have a total cholesterol level greater than 252;milligrams per deciliter of blood?;(a) The percent of the men that have a total cholesterol level less than 239 milligrams per deciliter of blood is---%.;(b) Of the 254 men selected,--- would be expected to have a total;cholesterol level greater than 252 milligrams per deciliter of blood.;(round to the nearest integer as needed);Problem # 37. Find the probability and interpret the results. If;convenient use technology to find the probability. The population mean;annual salary for environmental compliance specialists is about $62,000.;A random sample of 40 specialists is drawn from this population. What;is the probability that the mean salary of the sample is less than;$58,500. Assume mean is $58,500.;The probability that the mean salary of the sample is less than;$58,500 is ---. Interpret the results. Choose the correct answer below.;A. Only 0.01% of samples of 40 specialists will have a mean salary;less than $58,500. B. About 1%of samples of 40 specialists will have a;mean salary less than $58,500. This is an extremely unusual event. C.;Only 1% of samples of 40 specialists will have a mean salary less than;$58,500. This is an extremely unusual event. D. About 0.01% of samples;of 40 specialists will have a mean salary less than $58,500. This is not;an unusual event.

 

Paper#61225 | Written in 18-Jul-2015

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